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The a3/2 heat kernel coefficient for oblique boundary conditions

J S Dowker-+ and Klaus Kirsten++

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We present a method for the calculation of the a3/2 heat kernel coefficient of the heat operator trace for a partial differential operator of Laplace type on a compact Riemannian manifold with oblique boundary conditions. Using special case evaluations, restrictions are put on the general form of the coefficients, which, supplemented by conformal transformation techniques, allows the entire smeared coefficient to be determined.


PACS

02.40.Ky Riemannian geometries

02.30.Tb Operator theory

04.62.+v Quantum fields in curved spacetime

MSC

35Pxx Spectral theory and eigenvalue problems for partial differential operators (See also 47Axx, 47Bxx, 47F05)

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

81T20 Quantum field theory on curved space backgrounds

32W30 Heat kernels in several complex variables

Subjects

Mathematical physics

Gravitation and cosmology

Dates

Issue 6 (June 1999)

Received 21 December 1998



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